The number 13632
13632 is a composite number with 28 divisors. Its prime factorisation is × 3 × 71. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 71, 96, 142, 192 … 13632.
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How to work it out
- 1
13632 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13632 is composite. Its prime factorisation is
- 3
The divisors add up to 36576; without 13632 itself that is 22944, so 13632 is abundant (22944 is more than 13632). Euler's totient φ(13632) = 4480 numbers up to 13632 share no factor with it.
- 4
The digits of 13632 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13632 = 2^{6} \times 3 \times 71 \]13632 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 36576 |
| Euler totient φ(n) | 4480 |
| Square | 185831424 |
| Cube | 2533253971968 |
| Square root | 116.756156 (= 8√213) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 19 |
| Scientific notation | 1.3632 × |
13632 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and thirty-two |
| Binary (base 2) | 11010101000000 |
| Octal (base 8) | 32500 |
| Hexadecimal (base 16) | 3540 |
| Base 3 | 200200220 |
| As time | 13632 seconds = 3 h 47 min 12 s |
Is 13632 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13632 ÷ 2 = 6816) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13632 ÷ 3 = 4544) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13632 ÷ 4 = 3408) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13632 ÷ 6 = 2272) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (13632 ÷ 8 = 1704) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13632 ÷ 12 = 1136) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13632 a prime number?
No. 13632 = × 3 × 71, so it is divisible by 2.
What are the factors of 13632?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 71, 96, 142, 192, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 4544, 6816, 13632.
What is 13632 in binary?
11010101000000 (hexadecimal 3540, octal 32500).
What is the square root of 13632?
About 116.7562, exactly 8√213.
Is 13632 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13632?
It is a composite number with 28 divisors.